Question

Triangle ABC is right angled at C. If AC = 5cm, BC=12m, Find the length of AB ?​

Answer 1

$AB=13cm^{2}$

see the pic that i have attached

hope this helps...

Answer 2

Correct Question:-

• Triangle ABC is right angled at C. If AC = 5cm, BC = 12 cm. Find the length of AB ?

Solution:-

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$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\implies$ Here it is given in the question that triangle (∆) ABC is right angled at C. Now the question has given us the lengths of AC and BC that are 5 cm and 12 cm respectively. Now the question has asked us to find out the length of AB.

⛤ HOW TO DO:-

$\to$ Here to get the length of AB we need to apply Pythagoras theorem. We have to put the values in the formula and by solving it will get the answer. Follow the steps given below for solution.

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ANSWER:-

✬ Length of AB is 13 cm.

GIVEN:-

➥ Length of AC = 5 cm

➥ Length of BC = 12 cm

TO FIND:-

• Here we need to find the length of AB of the given triangle.

SOLUTION:-

• We will get the answer by applying the Pythagoras theorem.
• So let's find the length of AB.

We know that:-

$\green {\bigstar} \: \underline {\boxed{\rm {\pink{Hypotenuse^{2} = Perpendicular^{2} + Base^{2}}}}}$

Here,

• Hypotenuse = AB
• Perpendicular = AC
• Base = BC

Where,

• AC = 5 cm
• BC = 12 cm

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So let's solve it!

• Finding length of AB:-

$\dashrightarrow \tt{AB^{2} = {ac}^{2} + {bc}^{2}}$

$\dashrightarrow \tt{AB^{2} = {5}^{2} + {12}^{2}}$

$\dashrightarrow \tt{AB^{2} = 25 \: cm + 144 \: cm}$

$\dashrightarrow \tt{AB^{2} = 25 \: cm + 144 \: cm = 169 \: cm}$

$\dashrightarrow \tt{AB = \sqrt{169} \: cm}$

$\dashrightarrow \tt{AB = \sqrt{169} \: cm = 13 \: cm}$

$\green {\odot} \: \underline {\boxed{\rm {\pink{AB = 13 \: cm}}}}$

Thus, we got the answer.

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